Examples
Examples
Try the starting example
- Tool inventory: tool name, available units
- Drill,1
- Requests: person, tool, earliest day, loan days, latest start day
- A,Drill,1,2,1 B,Drill,2,1,4 C,Drill,2,1,3
- Return/reset buffer days
- 1
- Proposed loan schedule (end day exclusive)
- A: Drill#1 1–3; B: Drill#1 4–5
- Requests assigned
- 2
- Unmet requests
- C
- Distinct physical tool units used
- 1
Try another scenario
- Tool inventory: tool name, available units
- Drill,1
- Requests: person, tool, earliest day, loan days, latest start day
- A,Drill,1,2,1 B,Drill,2,1,4 C,Drill,2,1,3
- Return/reset buffer days
- 0
- Proposed loan schedule (end day exclusive)
- A: Drill#1 1–3; C: Drill#1 3–4; B: Drill#1 4–5
- Requests assigned
- 3
- Unmet requests
- None
- Distinct physical tool units used
- 1
Calculation method
Calculation method
Proposed loan schedule (end day exclusive)
Process requests by latest start, then input order. Choose the tool unit with earliest availability; start=max(earliest day, unit availability) if no later than latest start.
Requests assigned
Count feasible assignments under this order.
Unmet requests
Requests that cannot meet their supplied latest start or lack a matching tool.
Distinct physical tool units used
Count different tool/unit indices receiving at least one assignment. End day is the first day after the loan; the return buffer begins then.
Symbols and units
- a
- Tool inventory: tool name, available units
- b
- Requests: person, tool, earliest day, loan days, latest start day
- c
- Return/reset buffer days
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- A finite-inventory earliest-deadline loan proposal, with explicit reset buffer and end-exclusive loan dates. It does not approve borrowers, reserve real tools or prove maximum possible request satisfaction.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: arithmetic and geometry ↗
Background reading; this does not imply endorsement or independent review of SumFizz.